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When DNA molecules are heated they denature. This occurs locally so that loops of molten single DNA strands form, connected by intact double-stranded DNA pieces. The properties of this "melting" transition have been intensively…

Biological Physics · Physics 2015-06-29 E. Werner , M. Reiter-Schad , T. Ambjörnsson , B. Mehlig

The distance distribution between complementary base pairs of the two strands of a DNA molecule is studied near the melting transition. Scaling arguments are presented for a generalized Poland-Scheraga type model which includes…

Statistical Mechanics · Physics 2009-11-07 M. Baiesi , E. Carlon , Y. Kafri , D. Mukamel , E. Orlandini , A. L. Stella

The Poland-Scheraga model for DNA denaturation, besides playing a central role in applications, has been widely studied in the physical and mathematical literature over the past decades. More recently a natural generalization has been…

Probability · Mathematics 2017-03-31 Quentin Berger , Giambattista Giacomin , Maha Khatib

The denaturation transition which takes place in circular DNA is analyzed by extending the Poland-Scheraga model to include the winding degrees of freedom. We consider the case of a homopolymer whereby the winding number of the double…

Statistical Mechanics · Physics 2011-11-22 Amir Bar , Alkan Kabakçıoğlu , David Mukamel

We generalize the Poland-Scheraga model to consider DNA denaturation in the presence of an external stretching force. We demonstrate the existence of a force-induced DNA denaturation transition and obtain the temperature-force phase…

Soft Condensed Matter · Physics 2009-11-13 Andreas Hanke , Martha G. Ochoa , Ralf Metzler

Loops are essential secondary structure elements in folded DNA and RNA molecules and proliferate close to the melting transition. Using a theory for nucleic acid secondary structures that accounts for the logarithmic entropy c ln m for a…

Statistical Mechanics · Physics 2011-05-02 Thomas R. Einert , Henri Orland , Roland R. Netz

The Poland-Scheraga (PS) model for the helix-coil transition of DNA considers the statistical mechanics of the thermally induced binding of two complementary strands of DNA. In this paper, we show how to modify the PS model when a torque is…

Biomolecules · Quantitative Biology 2007-05-23 Thomas Garel , Henri Orland , Edouard Yeramian

We perform an extensive numerical study of the disordered Poland-Scheraga (PS) model for DNA denaturation in which self-avoidance is completely taken into account. In complement to our previous work, we focus here on the finite size scaling…

Soft Condensed Matter · Physics 2016-05-05 Barbara Coluzzi , Edouard Yeramian

The denaturation dynamics of a long double-stranded DNA is studied by means of a model of the Poland-Scheraga type. We note that the linking of the two strands is a locally conserved quantity, hence we introduce local updates that respect…

Statistical Mechanics · Physics 2009-01-28 Marco Baiesi , Roberto Livi

We investigate the kinetics of the DNA melting transition using modified versions of the Peyrard-Dauxois-Bishop and Poland-Scheraga models that include long and short range interactions. Using Brownian dynamics and Monte Carlo simulations,…

Other Condensed Matter · Physics 2007-05-23 Aaron Santos , William Klein

We numerically study the binary disordered Poland-Scheraga model of DNA denaturation, in the regime where the pure model displays a first order transition (loop exponent $c=2.15>2$). We use a Fixman-Freire scheme for the entropy of loops…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thomas Garel , Cecile Monthus

We discuss possible mechanisms that may impact the order of the transition between denaturated and bound DNA states and lead to changes in the scaling laws that govern conformational properties of DNA strands. To this end, we re-consider…

Soft Condensed Matter · Physics 2021-04-07 Yulian Honchar , Christian von Ferber , Yurij Holovatch

The stability of DNA molecule during the encapsulation process is a topic of intense research. We study the thermal stability of the double-stranded DNA molecule of different lengths in a confined space. Using a statistical model we…

Soft Condensed Matter · Physics 2020-02-04 Arghya Maity , Navin Singh

We generalize the Poland-Scheraga (PS) model to the case of a circular DNA, taking into account the twisting of the two strains around each other. Guided by recent single-molecule experiments on DNA strands, we assume that the torsional…

Soft Condensed Matter · Physics 2009-06-04 A. Kabakcioglu , E. Orlandini , D. Mukamel

We compare results of previous simulations of a simple model of DNA denaturation to the predictions of the Poland-Scheraga model. Concentrating on the critical region of the latter model we calculate both thermodynamic quantities and the…

Statistical Mechanics · Physics 2007-05-23 Lothar Schäfer

The Poland-Scheraga (PS) model for the helix-coil transition of DNA considers the statistical mechanics of the binding (or hybridization) of two complementary strands of DNA of equal length, with the restriction that only bases with the…

Biomolecules · Quantitative Biology 2007-05-23 Thomas Garel , Henri Orland

We introduce a three-state model for a single DNA chain under tension that distinguishes between B-DNA, S-DNA and M (molten or denatured) segments and at the same time correctly accounts for the entropy of molten loops, characterized by the…

Biological Physics · Physics 2015-05-18 Thomas R. Einert , Douglas B. Staple , Hans-Juergen Kreuzer , Roland R. Netz

We propose a new statistical mechanics model for the melting transition of DNA. Base pairing and stacking are treated as separate degrees of freedom, and the interplay between pairing and stacking is described by a set of local rules which…

Soft Condensed Matter · Physics 2007-05-23 Vassili Ivanov , Dmitri Piontkovski , Giovanni Zocchi

We have studied the separation of a double stranded DNA (dsDNA), which is driven either by the temperature or force. By monitoring the probability of opening of entire base pairs along the chain, we show that the opening of a dsDNA depends…

Soft Condensed Matter · Physics 2011-05-03 Shikha Srivastava , Navin Singh

We investigate kinetic pathways of the DNA melting transition using variable-range versions of the Poland-Scheraga (PS) and Peyrard-Dauxois-Bishop (PDB) models of DNA. In the PS model, we construct a phi^4-field theory to calculate the…

Biological Physics · Physics 2013-03-29 Aaron Santos , William Klein
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